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Mixed approximation of eigenvalue problems: A superconvergence result

Published online by Cambridge University Press:  08 April 2009

Francesca Gardini
Francesca Gardini*
Affiliation:
Dipartimento di Matematica “F. Casorati”, Università di Pavia, 27100 Pavia, Italy. francesca.gardini@unipv.it
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Abstract

We state a superconvergence result for the lowest order Raviart-Thomas approximation of eigenvalue problems. It is known that a similar superconvergence result holds for the mixed approximation of Laplace problem; here we introduce a new proof, since the one given for the source problem cannot be generalized in a straightforward way to the eigenvalue problem. Numerical experiments confirm the superconvergence property and suggest that it also holds for the lowest order Brezzi-Douglas-Marini approximation.

Keywords

Eigenvalue problemmixed finite elementsuperconvergence result
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 43 , Issue 5 , September 2009 , pp. 853 - 865
Copyright
© EDP Sciences, SMAI, 2009

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